A closed-loop control system transfer function T(s) has two dominant complex conjugate poles. Sketch the region in the left-hand 5-plane where the complex poles should be located to meet the given specifications.
(a) 0.6 ≤ ζ ≤ 0.8, ωn ≤ 10
(b) 0.5 ≤ ζ ≤ 0.707, ωn ≥ 10
(c) ζ ≥ 0.5, 5 ≤ ωn ≤ 10
(d) ζ ≤ 0.707, 5 ≤ ωn ≤ 10
(e) ζ ≥ 0.6, ωn ≤ 6